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PreprintCC BY 4.0arXiv

Rank-Selective Optical Tomography of Higher-Wave Altermagnetism

  • Meysam Bagheri Tagani
  • Carmine Autieri
  • Sahar Izadi Vishkayi
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Abstract

Identifying the spatial rank of higher-wave altermagnetic order optically is challenging because local electric-dipole response does not uniquely resolve distinct continuum harmonics. We show that finite photon momentum turns one-photon spin-resolved absorption into a rank-selective tomography. For the planar |m|=β„“ sector of an even-parity β„“-wave component, a joint Fourier projection in polarization and momentum angle isolates π’―β„“βˆΞ·β„“ qβ„“βˆ’2, yielding the hierarchy d:q0, g:q2, and i:q4; phase changes track rotations of the selected magnetic harmonic. A Ward-consistent finite-q microscopic calculation reproduces these powers without imposing them. Although discrete crystal symmetry can generate lower-order local aliases, they are orthogonal to the selected momentum harmonic and cannot contaminate it below qβ„“βˆ’2. In MnTe, whose nonrelativistic parent order is three-dimensional g wave while spin--orbit coupling lowers the exact relativistic spin-momentum-locking symmetry, first-principles calculations show that more than 99.9% of the Fourier power of the NΓ©el-projected A-region spin-energy contrast remains in the parent g-wave-derived m=3 harmonic. Structured near fields place the required momentum window within experimental reach.

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Cite

BibTeXRIS
BibTeX
@misc{tagani2026rankselective,
  title = {{Rank-Selective Optical Tomography of Higher-Wave Altermagnetism}},
  author = {Meysam Bagheri Tagani and Carmine Autieri and Sahar Izadi Vishkayi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02429},
  eprint = {2609.02429},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02429},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Rank-Selective Optical Tomography of Higher-Wave Altermagnetism
AU  - Meysam Bagheri Tagani
AU  - Carmine Autieri
AU  - Sahar Izadi Vishkayi
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02429
UR  - https://arxiv.org/abs/2609.02429
AB  - Identifying the spatial rank of higher-wave altermagnetic order optically is challenging because local electric-dipole response does not uniquely resolve distinct continuum harmonics. We show that finite photon momentum turns one-photon spin-resolved absorption into a rank-selective tomography. For the planar |m|=β„“ sector of an even-parity β„“-wave component, a joint Fourier projection in polarization and momentum angle isolates 𝒯_β„“βˆΞ·_β„“ q^β„“βˆ’2, yielding the hierarchy d:q^0, g:q^2, and i:q^4; phase changes track rotations of the selected magnetic harmonic. A Ward-consistent finite-q microscopic calculation reproduces these powers without imposing them. Although discrete crystal symmetry can generate lower-order local aliases, they are orthogonal to the selected momentum harmonic and cannot contaminate it below q^β„“βˆ’2. In MnTe, whose nonrelativistic parent order is three-dimensional g wave while spin--orbit coupling lowers the exact relativistic spin-momentum-locking symmetry, first-principles calculations show that more than 99.9% of the Fourier power of the NΓ©el-projected A-region spin-energy contrast remains in the parent g-wave-derived m=3 harmonic. Structured near fields place the required momentum window within experimental reach.
ER  -